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Finding the Third Proportional to 117,201,600 and 172,414,737

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Solution

The third proportional to 117,201,600 and 172,414,737 is: 253,638,529.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,201,600 : 172,414,737 = 172,414,737 : x
  2. Step 2: Convert to fraction form
    117,201,600/172,414,737 = 172,414,737/x
  3. Step 3: Cross multiply
    117,201,600x = 172,414,737 × 172,414,737
  4. Step 4: Simplify right side
    117,201,600x = 29,726,841,534,779,168
  5. Step 5: Solve for x
    x = 29,726,841,534,779,168/117,201,600
  6. Step 6: Final answer
    x = 253,638,529.98

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.